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Finding the Fourth Proportional to 540.95, 747.56 and 409.73

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Solution

The fourth proportional to 540.95, 747.56 and 409.73 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.95 : 747.56 = 409.73 : x
  2. Step 2: Convert to fraction form
    540.95/747.56 = 409.73/x
  3. Step 3: Cross multiply
    540.95x = 747.56 × 409.73
  4. Step 4: Simplify right side
    540.95x = 306,295.71
  5. Step 5: Solve for x
    x = 306,295.71/540.95
  6. Step 6: Final answer
    x = 566.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.